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Finding the Fourth Proportional to 1,771.30, 2,656.94 and 455.05

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Solution

The fourth proportional to 1,771.30, 2,656.94 and 455.05 is: 682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.30 : 2,656.94 = 455.05 : x
  2. Step 2: Convert to fraction form
    1,771.30/2,656.94 = 455.05/x
  3. Step 3: Cross multiply
    1,771.30x = 2,656.94 × 455.05
  4. Step 4: Simplify right side
    1,771.30x = 1,209,040.55
  5. Step 5: Solve for x
    x = 1,209,040.55/1,771.30
  6. Step 6: Final answer
    x = 682.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.